<h3>
<u>Explanation</u></h3>
- Given the system of equations.
- Substitute y = -4x in the second equation.
- Substitute the value of x in any given equations. I will substitute the value of x in the first equation.
- Answer Check by substituting both values in two equations.
<u>First</u><u> </u><u>Equation</u>
<u>Second</u><u> </u><u>Equation</u>
Both equations are true for the value of x and value of y.
<h3>
<u>Answer</u></h3>
<u>
</u>
<u>Coordinate</u><u> </u><u>Point</u><u> </u><u>form</u>
<u>
</u>
Answer:
Figure obtained - Cylinder
Surface area of the cylinder is 1224π square units.
Step-by-step explanation:
When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.
Surface area of the cylinder = 2πr(h + r)
By substituting r = 17 units and h = 19 units in the given formula,
Surface area = 2π(17)(17 + 19)
= (34)(36)π
= 1224π
Therefore, surface area of the cylinder is 1224π square units.
6x²+x-12
the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)
two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term
6x²+9x-8x-12
now we look for whats common between the first two numbers and divide them out
6x²+9x = 3x(2x+3)
now we do the same with the last two numbers
-8x-12 = -4(2x+3)
notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside
once we do that you should get an answer of
(3x-4)(2x+3)
hope this helped!
To work out 7% of 600, this is what you do
7/100 x 600
this will give you your answer
7% of 600 = 42
